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Simplifying 9(x + -3) + 17 = 8x + -5 Reorder the terms: 9(-3 + x) + 17 = 8x + -5 (-3 * 9 + x * 9) + 17 = 8x + -5 (-27 + 9x) + 17 = 8x + -5 Reorder the terms: -27 + 17 + 9x = 8x + -5 Combine like terms: -27 + 17 = -10 -10 + 9x = 8x + -5 Reorder the terms: -10 + 9x = -5 + 8x Solving -10 + 9x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 9x + -8x = -5 + 8x + -8x Combine like terms: 9x + -8x = 1x -10 + 1x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + 1x = -5 + 0 -10 + 1x = -5 Add '10' to each side of the equation. -10 + 10 + 1x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -5 + 10 1x = -5 + 10 Combine like terms: -5 + 10 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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